Spitfiresrule,
The simplest thing of all is a) to give us the name of your great grandfather, and b) to post that name, and the one serial number, on two message boards: this one and in the General Category forum at Royal Air Force Commands (http://www.rafcommands.com), another site that is read by some students of the minutia of RAF wartime flying, such as serial numbers.
You might luck out very, very quickly on the RAF Commands forum by finding someone who already has the 76 Squadron ORBs (assuming that nobody on this board has already PM’d you that the ORB copies are in his/her possession) — which, by the way, aren’t guaranteed to list aircrew. ORBs are sometimes lacking in detail, to the frustration of modern researchers. However, typically they will list names, such as your great grandfather’s. An ORB can provide the mother lode of detail.
But to get easy info, provide info. People here and on that other forum are very willing to help you, if you provide basic details. And if you can post a scanned, good-resolution version of the Halifax photo here, then this might spark some very positive replies.
I will assume that you have not seen your great grandfather’s logbook. If you haven’t done so, make enquiries within the family for this incredible document, which, if it exists, can solve so many questions for you.
Good luck.